We extend the almost sure max-limit theorem to the case of unbounded functions.
On almost sure max-limit theorems
✍ Scribed by I. Fahrner; U. Stadtmüller
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 324 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0167-7152
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✦ Synopsis
We prove an almost sure version of a maximum limit theorem using logarithmic means and show that essentially only logarithmic means work as it is the case for almost sure central limit theorems. ~
📜 SIMILAR VOLUMES
## Abstract A general almost sure limit theorem is presented for random fields. It is applied to obtain almost sure versions of some (functional) central limit theorems. (© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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